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Finding the Fourth Proportional to 14,513, 20,029.83 and 8,545.22

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Solution

The fourth proportional to 14,513, 20,029.83 and 8,545.22 is: 11,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513 : 20,029.83 = 8,545.22 : x
  2. Step 2: Convert to fraction form
    14,513/20,029.83 = 8,545.22/x
  3. Step 3: Cross multiply
    14,513x = 20,029.83 × 8,545.22
  4. Step 4: Simplify right side
    14,513x = 171,159,303.91
  5. Step 5: Solve for x
    x = 171,159,303.91/14,513
  6. Step 6: Final answer
    x = 11,793.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.